At 09 25, Xandra left Town A and cycled towards Town B. Esther left Town A and cycled towards Town B at 09 55. Esther's cycling speed was 10 km/h faster than Xandra. At 11 25, Esther caught up with Xandra. Find the cycling speed of each cyclist.

1. Xandra
2. Esther

(a)
Duration that Esther cycled from 09 55 to 11 25
= 1³⁰₆₀
= 1¹₂ h

Distance that Esther cycled more than Xandra
= 1¹₂ x 10
= 15 km

However, since Xandra left 30 minutes earlier than Esther and Esther caught up with Xandra, it means that Xandra has cycled 15 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Xandra's cycling speed
= 15 ÷ ¹₂
= 15 x ²₁
= 30 km/h

(b)
Esther's cycling speed
= 30 + 10
= 40 km/h

Answer(s): (a) 30 km/h ; (b) 40 km/h